5 problems

For each $\Delta>0$, let $\mathrm{NL}_\Delta$ denote the corresponding Noether–Lefschetz divisor, and let $\|\mathrm{NL}_\Delta\|_1$ be its coefficient $1$-norm. Existing results g…

Let $B$ be a smooth variety, let $X$ be the elliptic fibration under consideration, and let $\beta\in H_2(B,\mathbb Z)$ and $g$ satisfy the setup preceding the claim, including Ass…

For each integer $\ell\geq 1$, let $\mathcal M_{2\ell}$ denote the moduli space of polarized $K3$ surfaces of degree $2\ell$. Let ${\mathsf{NL}}^\star(\mathcal M_{2\ell})$ be the s…

Let the STU model be equipped with its fiber classes, and let $\mathsf{R}^{h,\diamond}_{j_L,j_R}$ denote the refined invariants defined by the generating series in the source. The…

Let $\mathcal{M}_l$ be the moduli space of quasi-polarized $K3$ surfaces, and let … be the subspace spanned by the Noether–Lefschetz divisors $D_{h,d}$. Noether–Lefschetz generatio…